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Finding the Fourth Proportional to 2,308.34, 3,185.69 and 1,424.22

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Solution

The fourth proportional to 2,308.34, 3,185.69 and 1,424.22 is: 1,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.34 : 3,185.69 = 1,424.22 : x
  2. Step 2: Convert to fraction form
    2,308.34/3,185.69 = 1,424.22/x
  3. Step 3: Cross multiply
    2,308.34x = 3,185.69 × 1,424.22
  4. Step 4: Simplify right side
    2,308.34x = 4,537,123.41
  5. Step 5: Solve for x
    x = 4,537,123.41/2,308.34
  6. Step 6: Final answer
    x = 1,965.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.